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Finding the Fourth Proportional to 20,613.30, 30,901.62 and 7,462.76

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Solution

The fourth proportional to 20,613.30, 30,901.62 and 7,462.76 is: 11,187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,613.30 : 30,901.62 = 7,462.76 : x
  2. Step 2: Convert to fraction form
    20,613.30/30,901.62 = 7,462.76/x
  3. Step 3: Cross multiply
    20,613.30x = 30,901.62 × 7,462.76
  4. Step 4: Simplify right side
    20,613.30x = 230,611,373.67
  5. Step 5: Solve for x
    x = 230,611,373.67/20,613.30
  6. Step 6: Final answer
    x = 11,187.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.